Resultant of Non-Concurrent Force System
The resultant of non-concurrent force system is defined according to magnitude, inclination, and position.
The magnitude of the resultant can be found as follows
The inclination from the horizontal is defined by
The position of the resultant can be determined according to the principle of moments.
Fx = component of forces in the x-direction
Fy = component of forces in the y-direction
Rx = component of thew resultant in x-direction
Ry = component of thew resultant in y-direction
R = magnitude of the resultant
θx = angle made by a force from the x-axis
MO = moment of forces about any point O
d = moment arm
MR = moment at a point due to resultant force
ix = x-intercept of the resultant R
iy = y-intercept of the resultant R